Question

To the nearest tenth of an inch, find the length of side c, the hypotenuse

Answer 1

c. 13.7

Explanation:

C= 180.00 −A−B= 180.00 ∘ − 20.00 ∘ − 90.00 ∘ = 70.00 ∘

c= sin(C)⋅a sin(A) = sin( 70.00 ∘ )⋅5.0 sin( 20.00 ∘ ) = 13.74

Answer 2

For this case we have the following trigonometric relationship:
sine (x) = C.O / h
Where,
x: angle
C.O: opposite leg
h: hypotenuse
Substituting values we have:
sine (20) = 5 / c
Clearing c:
c = 5 / sine (20)
c = 14.619022
Rounding:
c = 14.6 in
Answer:
c = 14.6 in
option 4